Mathematical Tripos Dynamics and Relativity 2022

Below are my answers to the 2022 Mathematical Tripos Part 1A Dynamics and Relativity questions examined on 08 June 2022.

  1. 3C (a) The vector equation of the plane is ͢r = ͢x0 + 𝜇 ͢E + λ ͢v . The motion is in a plane containing the initial point (x0) and is perpendicular to the magnetic field since the initial velocity has no component in the direction of B. The parameters 𝜇 and λ depend on m, q, t, E and B. These are identified in part (b). The scalar equation of the plane is ͢r · ͢B = ͢x0 · ͢B , since ͢E and ͢v are both perpendicular to ͢B.
  2. 3C (b)...answer to come